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Comparison between Modal Analysis and Finite Element Modelling of a Marimba Bar

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The sound spectrum of low-tuned marimba bars contains many components that cannot be explained by a simple one-dimensional model of flexural vibrations. A modal analysis has thus been performed on a bass marimba bar C3 with a fundamental frequency of 130 Hz (outer dimensions: 46 cm × 6 cm × 2.35 cm (x,y,z), material: rosewood), taking into account two spatial components of vibration. The 20 lowest modes were extracted from this analysis (modal frequencies and mode shapes).

A 3-D finite element (FE) analysis of this bar, based on an orthotropic model for the material, has been conducted in parallel. Modal analysis and finite element modelling yield very similar mode shapes and modal frequencies for the first 12 modes, between 130 Hz and 4000 Hz, which confirms the experimental results and validates the theoretical approach.

The discrepancies between measured and calculated frequencies are less than 4 % in this frequency range. For higher frequencies, between 4000 Hz and 8000 Hz, the finite element analysis shows a number of modes which were not detected in the modal analysis.
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Document Type: Research Article

Publication date: March 1, 1999

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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